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Finding the Fourth Proportional to 2,105.76, 3,160.08 and 2,089.56

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Solution

The fourth proportional to 2,105.76, 3,160.08 and 2,089.56 is: 3,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.76 : 3,160.08 = 2,089.56 : x
  2. Step 2: Convert to fraction form
    2,105.76/3,160.08 = 2,089.56/x
  3. Step 3: Cross multiply
    2,105.76x = 3,160.08 × 2,089.56
  4. Step 4: Simplify right side
    2,105.76x = 6,603,176.76
  5. Step 5: Solve for x
    x = 6,603,176.76/2,105.76
  6. Step 6: Final answer
    x = 3,135.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.